Theorems · Definition · category theory

CategoryTheory.Bicategory.associatorNatIsoRight

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      (f : a ⟶ b) →
        (g : b ⟶ c) →
          (d : B) →
            (CategoryTheory.Bicategory.precomposing a c d).obj (CategoryTheory.CategoryStruct.comp f g) ≅
              ((CategoryTheory.Bicategory.precomposing b c d).obj g).comp
                ((CategoryTheory.Bicategory.precomposing a b d).obj f)

Right component of the associator as a natural isomorphism.

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory